3 problems

Strict positivity conjecture. For every $b>0$, the second variation at $Y$ is strictly positive definite.

Let a sequence of uniaxial critical points of the Landau–de Gennes energy converge strongly to a minimizing limiting harmonic map. Universal radial-hedgehog defect-profile conjectu…

Let $Q^{(L_k)}$ be global minimizers of the Landau–De Gennes energy converging to the limiting harmonic map … where $Q^{(0)}$ may have singularities. Optical defects are regions of…